## anonymous one year ago Simplify.square root 27/12 will give metal A.-3/2 B.2/3 C.3/2 D.3

1. pooja195

Can that be simplified?

2. pooja195

27/12

3. anonymous

yes

4. pooja195

To what?

5. Astrophysics

$\sqrt{\frac{ 27 }{ 12 }} \implies \left( \frac{ 27 }{ 12 } \right)^{1/2} = \frac{ 27^{1/2} }{ 12^{1/2} }$

6. misty1212

HI!!

7. anonymous

Hi misty

8. pooja195

Wow that just looks like a mess now.

9. Astrophysics

$\implies \frac{ \sqrt{27} }{ \sqrt{12} } = \frac{ 3\sqrt{3} }{ 2\sqrt{3} }$

10. misty1212

first step is to note that $\frac{27}{12}=\frac{9}{4}$ then take teh square root of the top and bottom separately

11. Astrophysics

Should get used to the exponent rules

12. Mertsj

$\sqrt{\frac{27}{12}}=\sqrt{\frac{9\times3}{4\times3}}=\sqrt{\frac{9}{4}}=\frac{\sqrt{9}}{\sqrt{4}}=\frac{3}{2}$

13. misty1212

forget the fractional exponents, they do not help your cause at all reduce first, take the square root last

14. Astrophysics

No, don't forget just know there's more then one way of doing it, and all you have to do is cancel out the sqrt(3)'s